1
GATE CE 2006
MCQ (Single Correct Answer)
+1
-0.3
Solution for the system defined by the set of equations $$4y+3z=8, 2x-z=2$$ & $$3x+2y=5$$ is
A
$$x=0, y=1,z=4/5$$
B
$$x=0,y=1/2,z=2$$
C
$$x=1,y=1/2,z=2$$
D
non existent
2
GATE CE 2005
MCQ (Single Correct Answer)
+1
-0.3
Consider a non-homogeneous system of linear equations represents mathematically an over determined system. Such a system will be
A
Consistent having a unique solution
B
Consistent having many solutions.
C
Inconsistent having a unique solution.
D
none
3
GATE CE 2005
MCQ (Single Correct Answer)
+1
-0.3
Consider the following system of equations in three real variable $${x_1},$$ $${x_2}$$ and $${x_3}:$$ $$$2{x_1} - {x_2} + 3{x_3} = 1$$$ $$$3{x_1} + 2{x_2} + 5{x_3} = 2$$$ $$$ - {x_1} + 4{x_2} + {x_3} = 3$$$

This system of equations has

A
no solution
B
a unique solution
C
more then one but a finite number of solutions.
D
an infinite number of solutions.
4
GATE CE 2005
MCQ (Single Correct Answer)
+1
-0.3
Consider the matrices $$\,{X_{4x3,}}\,\,{Y_{4x3}}$$ $$\,\,{P_{2x3}}.$$ The order of $$\,{\left[ {P{{\left( {{X^T}Y} \right)}^{ - 1}}{P^T}} \right]^T}$$ will be
A
$$2 \times 2$$
B
$$3 \times 3$$
C
$$\,4 \times 3\,$$
D
$$\,3 \times 4\,$$
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Fluid Mechanics and Hydraulic Machines
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